Transcript Lesson 12.1A

Multiple
MultipleRepresentations
Representationsof
ofFunctions
Functions
• How do we translate between the
various representations of functions?
• How do we solve problems by using the
various representations of functions?
HoltMcDougal
Algebra 2Algebra 2
Holt
Multiple Representations of Functions
An amusement park manager
estimates daily profits by
multiplying the number of
tickets sold by 20. This verbal
description is useful, but other
representations of the function
may be more useful.
These different representations can help the manager
set, compare, and predict prices.
Holt McDougal Algebra 2
Multiple Representations of Functions
Business Application
Sketch a possible graph to represent the following.
1. Ticket sales were good
until a massive power
outage happened on
Saturday that was not
repaired until late Sunday.
The graph will show decreased
sales until Sunday.
Holt McDougal Algebra 2
Multiple Representations of Functions
Business Application
Sketch a possible graph to represent the following.
2. The weather was beautiful
on Friday and Saturday, but
it rained all day on Sunday
and Monday.
The graph will show decreased
sales on Sunday and Monday.
Holt McDougal Algebra 2
Multiple Representations of Functions
Business Application
Sketch a possible graph to represent the following.
3. Only ½ of the rides
were running on Friday
and Sunday.
The graph will show decreased
sales on Friday and Sunday.
Holt McDougal Algebra 2
Multiple Representations of Functions
Example 4 Approximate the best-fitting line
The table below gives the number of people y who attended each of
the first seven football games x of the season. Approximate the bestfitting line for the data.
x 1
2
3
4
5
6
7
y 722 763 772 826 815 857 897
Use Stat – Calc – 4 – LinReg
y  27 x  699
Type equation into y =, and graph.
Holt McDougal Algebra 2
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Multiple Representations of Functions
Example 5 Approximate the best-fitting line
The table gives the average class score y on each chapter test for the
first six chapters x of the textbook.
x
y
1
84
2
83
3
86
4
88
5
87
6
90
Use Stat – Calc – 4 – LinReg
y  1.257 x  81.93
Type equation into y =, and graph.
Holt McDougal Algebra 2
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Multiple Representations of Functions
Example 6 Approximate the best-fitting quadratic
The table shows the height of a baseball that is hit, with x
representing the time and y representing the baseball’s height.
x
y
0
3
2
28
4
40
6
37
8
26
Use Stat – Calc – 5 – QuadReg
y  1.55x  15.18x  3.37
2
Type equation into y =, and graph.
Holt McDougal Algebra 2
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Multiple Representations of Functions
Example 7 Approximate the best-fitting quadratic
Use a graphing calculator to find the best-fitting model for the data
in the table.
x
y
0
4
2
23
4
30
6
25
8
7
Use Stat – Calc – 5 – QuadReg
y  1.54 x  12.69 x  3.91
2
Type equation into y =, and graph.
Holt McDougal Algebra 2
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Multiple Representations of Functions
Lesson 12.1 Practice A
Holt McDougal Algebra 2